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You can compare fractions very easily by making either their denominator or numerator same.

Say I want to compare \(\sqrt{2} / \sqrt{3}\) with 2/3.I just multiply and divide \(\sqrt{2} / \sqrt{3}\) by \(\sqrt{2}\) to get 2/\(\sqrt{6}\).Since \(\sqrt{6}\) is less than 3, 2/\(\sqrt{6}\) (i.e. \(\sqrt{2} / \sqrt{3}\)) is greater than 2/3.Similarly, all terms of option A will be greater than all corresponding terms of option B.

Perfect example of how complicated looking questions are also based on very fundamental concepts.
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07 Jan 2013, 11:49

out of a/b/c a is surely greatest because diff between numerator and denominator of each term is least in A.d and e can be calculated to see that d is less than 1 and e is less than 2A is greater than 2 since each term in A is greater than 0.5.Hence answer - A

Re: Which of the following represents the greatest value? [#permalink]

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15 Jan 2014, 10:06

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Re: Which of the following represents the greatest value? [#permalink]

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15 Aug 2015, 07:04

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Which of the following represents the greatest value? [#permalink]

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25 Aug 2016, 08:51

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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